Greatest Common Factor of 7388 and 7396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7388, 7396 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7388 and 7396 is 4.

GCF(7388,7396) = 4

GCF of 7388 and 7396

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7388 and 7396

GCF of 7388 and 7396 is 4

Prime Factorization of 7388


2 7388
2 3694
1847 1847
1

Prime factors of 7388 are 2,1847. Prime factorization of 7388 in exponential form is:

7388 = 22×18471

Prime Factorization of 7396


2 7396
2 3698
43 1849
43 43
1

Prime factors of 7396 are 2,43. Prime factorization of 7396 in exponential form is:

7396 = 22×432

∴ So by taking common prime factors GCF of 7388 and 7396 is 4

Greatest Common Factor of 7388 and 7396 by matching factors method

Factors of 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1,2,4,1847,3694,7388

Factors of 7396

List of positive integer factors of 7396 that divides 7396 without a remainder.

1,2,4,43,86,172,1849,3698,7396

Greatest Common Factor

We found the factors and prime factorization of 7388 and 7396. The biggest common factor number is the GCF number.
So the greatest common factor 7388 and 7396 is 4.

Also check out the Least Common Multiple of 7388 and 7396

Properties of GCF 7388 and 7396

(i) The GCF of 7388 and 7396 is associative

GCF of 7388 and 7396 = GCF of 7396 and 7388

Related Greatest Common Factor of 7388

Related Greatest Common Factor of 7396

Frequently Asked Questions on GCF of 7388 and 7396

1. What is the GCF of 7388 and 7396?

Answer: GCF of 7388 and 7396 is 4.

2. What are the Factors of 7388?

Answer: Factors of 7388 are 1, 2, 4, 1847, 3694, 7388. There are 6 integers that are factors of 7388. The greatest factor of 7388 is 7388.

3. What are the Factors of 7396?

Answer: Factors of 7396 are 1, 2, 4, 43, 86, 172, 1849, 3698, 7396. There are 9 integers that are factors of 7396. The greatest factor of 7396 is 7396.

4. How to Find the GCF of 7388 and 7396?

Answer:

Greatest Common Factor of 7388 and 7396 = 4

Step 1: Find the prime factorization of 7388

7388 = 2 x 2 x 1847

Step 2: Find the prime factorization of 7396

7396 = 2 x 2 x 43 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7388 and 7396 is 4